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Finding the Fourth Proportional to 27,270.16, 40,906.16 and 7,547.07

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Solution

The fourth proportional to 27,270.16, 40,906.16 and 7,547.07 is: 11,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270.16 : 40,906.16 = 7,547.07 : x
  2. Step 2: Convert to fraction form
    27,270.16/40,906.16 = 7,547.07/x
  3. Step 3: Cross multiply
    27,270.16x = 40,906.16 × 7,547.07
  4. Step 4: Simplify right side
    27,270.16x = 308,721,410.69
  5. Step 5: Solve for x
    x = 308,721,410.69/27,270.16
  6. Step 6: Final answer
    x = 11,320.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.